493586994600000 has 1008 divisors, whose sum is σ = 2095834710243456. Its totient is φ = 112819806720000.

The previous prime is 493586994599983. The next prime is 493586994600043. The reversal of 493586994600000 is 6499685394.

493586994600000 is a `hidden beast` number, since 4 + 9 + 3 + 5 + 86 + 99 + 460 + 0 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1008).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 339474564 + ... + 340925436.

It is an arithmetic number, because the mean of its divisors is an integer number (2079201101432).

Almost surely, 2^{493586994600000} is an apocalyptic number.

493586994600000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 493586994600000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1047917355121728).

493586994600000 is an abundant number, since it is smaller than the sum of its proper divisors (1602247715643456).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

493586994600000 is an frugal number, since it uses more digits than its factorization.

493586994600000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1450932 (or 1450890 counting only the distinct ones).

The product of its (nonzero) digits is 50388480, while the sum is 63.

The spelling of 493586994600000 in words is "four hundred ninety-three trillion, five hundred eighty-six billion, nine hundred ninety-four million, six hundred thousand".